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Finding the Third Proportional to 76,722 and 164,104

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Solution

The third proportional to 76,722 and 164,104 is: 351,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,722 : 164,104 = 164,104 : x
  2. Step 2: Convert to fraction form
    76,722/164,104 = 164,104/x
  3. Step 3: Cross multiply
    76,722x = 164,104 × 164,104
  4. Step 4: Simplify right side
    76,722x = 26,930,122,816
  5. Step 5: Solve for x
    x = 26,930,122,816/76,722
  6. Step 6: Final answer
    x = 351,009.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.